A college dormitory houses 100 students, each of whom is susceptible to a certain virus infection. A simple model of epidemic assumes that during the course on an epidemic, the rate of change on the number of infected students (1) with respect to time is directly proportional to the number of infected students (I) and also directly proportional to the number of uninfected students (100-1). If at time t = 0 a single student becomes infected, determine the following:
A college dormitory houses 100 students, each of whom is susceptible to a certain virus infection. A simple model of epidemic assumes that during the course on an epidemic, the rate of change on the number of infected students (1) with respect to time is directly proportional to the number of infected students (I) and also directly proportional to the number of uninfected students (100-1). If at time t = 0 a single student becomes infected, determine the following:
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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